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JOURNALS // Fizika Tverdogo Tela // Archive

Fizika Tverdogo Tela, 2022 Volume 64, Issue 8, Pages 1046–1051 (Mi ftt11092)

Lattice dynamics

Energy analysis of magnetic structures of the ground state of the Potts model with competing exchange interactions

M. K. Ramazanova, A. K. Murtazaeva, M. A. Magomedova, D. R. Kurbanovaa, K. M. Ramazanovb, M.-Sh. S. Khizrievac

a Dagestan Federal Research Center, Russian Academy of Sciences, Makhachkala, Russia
b Daghestan State University, Makhachkala
c Daghestan State Technical University, Makhachkala, Russia

Abstract: Based on the Wang–Landau algorithm, the Monte Carlo method was used to study the magnetic structures of the ground state and the thermodynamic properties of the two-dimensional Potts model with the number of spin states $q$ = 4 on a triangular lattice, taking into account the exchange interactions of the first $J_1$ and second $J_2$ nearest neighbors. The studies were carried out for the value of the interaction of the second nearest neighbors in the range -2.0 $\le J_2\le$ 0.0. The magnetic structures of the ground state are constructed in the interval considered. An energy analysis of the magnetic structures of the ground state has been carried out. A phase diagram of the dependence of the critical temperature on the value of $J_2$ is constructed. It is shown that taking into account the interactions of the second nearest neighbors leads to the appearance of frustrations and violation of the magnetic ordering.

Keywords: frustrations, magnetic structures, Monte Carlo method, Potts model.

Received: 13.04.2022
Revised: 27.04.2022
Accepted: 29.04.2022

DOI: 10.21883/FTT.2022.08.52706.348



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